CC or CJ nickname with Carolyn

Just found out we’re expecting twins. Not sure the gender yet but my maternal Grandmother Carolyn had fraternal twins and if we have a girl, would love to use it. She passed away only a few months ago at 94 and was the absolute coolest woman.

The issue is…I really don’t love the name or its nicknames - Cara, Carly, Lynn, etc. I don’t want my taste of the name to ruin it for her if she grows up and loves it, and it would be really meaningful to me and my entire family. (cue pregnant tears).

So starting to think of an initial nickname with Carolyn — really like CC or CJ.

I prefer gender neutral names, so thinking for middle name:

Carter Cameron Clarke

James Jett

What combo is my soul crushing nausea making me miss? Thanks for the helpful distraction 💕